Calculate the smallest possible value of K. 7x + 3y = K

[jinakin]

Let's K is a positive integer.
And K=7x + 3y
where x > 0 and y > 0
The line K=7x + 3y passes through exactly two lattice points in the first quadrant.
What is the smallest possible value of K?

[adamsmith]

Given K is a positive integer.
And K=7x + 3y
where x > 0 and y > 0
The line K=7x + 3y passes through exactly two lattice points in the first quadrant
then smallest k=?
Let x=y=1(by given)
then k=7*1+3*1
k=10 is the smallest value of k